Quantum Graphs and Their Applications

Quantum Graphs and Their Applications
Author: Gregory Berkolaiko
Publisher: American Mathematical Soc.
Total Pages: 322
Release: 2006
Genre: Mathematics
ISBN: 0821837656

Download Quantum Graphs and Their Applications Book in PDF, Epub and Kindle

This volume is a collection of articles dedicated to quantum graphs, a newly emerging interdisciplinary field related to various areas of mathematics and physics. The reader can find a broad overview of the theory of quantum graphs. The articles present methods coming from different areas of mathematics: number theory, combinatorics, mathematical physics, differential equations, spectral theory, global analysis, and theory of fractals. They also address various important applications, such as Anderson localization, electrical networks, quantum chaos, mesoscopic physics, superconductivity, optics, and biological modeling.


Quantum Graphs and Their Applications
Language: en
Pages: 322
Authors: Gregory Berkolaiko
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

GET EBOOK

This volume is a collection of articles dedicated to quantum graphs, a newly emerging interdisciplinary field related to various areas of mathematics and physic
Introduction to Quantum Graphs
Language: en
Pages: 291
Authors: Gregory Berkolaiko
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: American Mathematical Soc.

GET EBOOK

A ``quantum graph'' is a graph considered as a one-dimensional complex and equipped with a differential operator (``Hamiltonian''). Quantum graphs arise natural
Graphs on Surfaces and Their Applications
Language: en
Pages: 463
Authors: Sergei K. Lando
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

GET EBOOK

Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. Th
Quantum Probability and Spectral Analysis of Graphs
Language: en
Pages: 384
Authors: Akihito Hora
Categories: Science
Type: BOOK - Published: 2007-07-05 - Publisher: Springer Science & Business Media

GET EBOOK

This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book
A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
Language: en
Pages: 153
Authors: Greg Kuperberg
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

GET EBOOK

In A von Neumann Algebra Approach to Quantum Metrics, Kuperberg and Weaver propose a new definition of quantum metric spaces, or W*-metric spaces, in the settin